A series of intense Israeli strikes targeted areas of Beirut’s southern suburbs Saturday morning as Hezbollah continued considering the latest ceasefire proposal.

Lebanon's caretaker Prime Minister Najib Mikati has appeared to encourage Tehran to convince Hezbollah, which it supports, to agree to a deal that could require the militant group to withdraw from the Israel-Lebanon border.

Israel launched more airstrikes on Hezbollah targets Friday, completely leveling a building in Beirut. The strikes come after a top Iranian official committed to support Lebanon as the U.S. continues to push for a cease-fire deal.

Hezbollah is considering a US-Israeli ceasefire proposal, sources told CNN, as diplomatic efforts to end the conflict between Israel and the Lebanese militant group intensify.

Lebanese officials were reviewing on Friday a US truce proposal in the Israel-Hezbollah war as Hamas said it was ready for a ceasefire on Israel's other front, in Gaza.

Israeli ground forces reached their deepest point in Lebanon since they invaded six weeks ago before pulling back Saturday.

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The number of daily Hezbollah rocket strikes against Israel has fallen by nearly half as officials say they are as close as they’ll ever be to reaching a cease-fire deal in Lebanon. The Iran-backed terror group has consistently fired around 150 to 200 rockets every day in recent months,